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Finding the Fourth Proportional to 685.60, 945.48 and 574.90

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Solution

The fourth proportional to 685.60, 945.48 and 574.90 is: 792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.60 : 945.48 = 574.90 : x
  2. Step 2: Convert to fraction form
    685.60/945.48 = 574.90/x
  3. Step 3: Cross multiply
    685.60x = 945.48 × 574.90
  4. Step 4: Simplify right side
    685.60x = 543,556.45
  5. Step 5: Solve for x
    x = 543,556.45/685.60
  6. Step 6: Final answer
    x = 792.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.